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3 years ago

I asked my question. I can not find were you helped me answer the question

Mathematics

1 answer:

Aloiza [94]3 years ago

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Go to profile and click on my questions

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Express the polar coordinates (-2, pi/2) as Cartesian coordinates.

marshall27 [118]

Answer:

(0, -3)

Step-by-step explanation:

Hope this helps, sorry I'm a little late

7 0

3 years ago

A rectangular box is to have a square base and a volume of 72 ft3. If the material for the base costs $0.62/ft2, the material fo

Igoryamba

Answer:

a. length = 0.7211 ft

b. width = 0.7211 ft

c. height = 140.3846 ft

Step-by-step explanation:

This is an optimiztion with restriction problem.

We have to minimize the cost, with the restriction of the volume being equal to 72 ft3.

As the cost for the sides is constant, we know that length and width are equal.

Then, we can express the volume as:

$V=x\cdot y\cdot z=x^2z=73$

being x: length and z: height

We can express the height in function of the length as:

$x^2z=73\\\\z=73x^{-2}$

Then, the cost of the box can be expressed as:

$C=0.62(x^2)+4*0.15(xz)+0.18(x^2)=(0.62+0.18)x^2+0.60xz\\\\C=0.8x^2+0.60x*x^{-2}=0.8x^2+0.6x^{-1}$

To optimize C, we derive and equal to zero

$\dfrac{dC}{dx}=\dfrac{d}{dx}[0.8x^2+0.6x^{-1}]=1.6x-0.6x^{-2}=0\\\\\\1.6x=0.6x^{-2}\\\\x^{1+2}=0.6/1.6=0.375\\\\x=\sqrt[3]{0.375} =0.7211$

The height z is then

$z=73x^{-2}=\dfrac{73}{0.7211^2}=\dfrac{73}{0.52}=140.3846$

6 0

3 years ago

A pyramid has a base with a demension 5 inches by 7 inches .The height of the pyramid is unknown .If the volume of the pyramid i

Ulleksa [173]

Answer:

9 inches

Step-by-step explanation:

The volume of a pyramid is given as:

$V = \frac{l* w*h}{3}$

where l = length of base of pyramid

w = width of base of pyramid

h = height of pyramid

The volume of the cylinder is already known ( $105 in^3$ ) and the other two dimensions are known as 5 in and 7 in.

From the formula of the volume of the pyramid, the height of the pyramid is given as:

$h = \frac{3V}{l*h}$

Hence, the height of the pyramid is:

$h = \frac{3 * 105}{5 * 7}\\ \\h = \frac{315}{35} = 9in$

The pyramid's height is 9 inches.

7 0

3 years ago

Read 2 more answers

PLZ HELP FAST FIRST PERSON TO ANSWER OR WHOEVER GETS RIGHT GETS BRAINLYEST

Damm [24]

T + S + R = 180

R = 180 - (T + S)

T + S = 68 + 76 = 144

So R = 180 - 144 = 36

<R = 36

3 0

3 years ago

Read 2 more answers

Eve has 17,493 pony beads, 14,07 pearl beads, 8,037 shell beads, and 6,834 bugle beads. Yvette has 294,972 more beads than Eve.

Alex_Xolod [135]

The answer is 325743 please mark branliest and give thanks if not i will report u

6 0

3 years ago